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Hilbert Spaces

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Multiple Choice

Let $H$ be a Hilbert space. Which of the following is NOT a property of the inner product $\langle \cdot, \cdot \rangle$ on $H$?

  1. It is linear in the first argument.
  2. It is conjugate linear in the second argument.
  3. It is positive definite.
  4. It is bounded.
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